Knowledge

Two-dimensionalism

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109:, i.e., is the idea or method by which we find its referent. In other words, it's how we identify something in any possible world before knowing its actual nature. The primary intension of "water" might be a description, such as 113:
or "the clear, drinkable liquid that fills oceans and lakes". The thing picked out by the primary intension of "water" could have been otherwise. For example, on some other world where the inhabitants take "water" to mean
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because we can imagine another substance XYZ with watery properties, but it's not 2-possible. Hence, objections to conceivability implying possibility are unfounded when these words are used more carefully.
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The reason Chalmers employs two-dimensional semantics is to avoid objections to conceivability implying possibility. For instance, it's claimed that we can conceive of water not having been
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world, whatever that world happens to be. It's determined after we discover water's actual composition in our world. So, if we assign "water" the primary intension
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Chalmers then advances the following "two-dimensional argument against materialism". Define P as all physical truths about the universe and Q as a truth about
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O" is true in every world. This explains how "water is XYZ" can be conceivable (using the primary intension) but not possible (using the secondary intension).
378:, such as that someone is conscious. Let "1-possible" refer to possibility relative to primary intension and "2-possible" relative to secondary intension. 237:, which entails that it is impossible for a proposition to fail to be a priori given that it is necessary. This can be proven as follows: If a proposition 54:? Two-dimensionalism provides an analysis of the semantics of words and sentences that makes sense of this possibility. The theory was first developed by 1444: 2161: 746: 2261: 1220: 2023: 203:
O, but given that it is true (which it is) it cannot be false. It would be absurd to claim that something that is water is not H
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and necessary is considered absurd by some philosophers (as is Kripke's paired claim that the same proposition can be both
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and others. Soames argues that two-dimensionalism stems from a misreading of passages in Kripke (1980) as well as
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Two-dimensional semantics has been used by David Chalmers to counter objections to the various arguments against
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domains" in arguing from knowability or epistemic conceivability to what is necessary or possible (modalities).
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If two-dimensionalism is workable it solves some very important problems in the philosophy of language.
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is true at all possible worlds and what we know are sets of possible worlds, then it is not possible
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component of the sentence, since it is necessary that the stuff we in fact call water is H
46:. It is intended to resolve the puzzle: How is it possible to discover empirically that a 8: 2201: 2191: 2041: 1997: 1831: 1608: 1523: 1366: 1281: 1225: 1128: 1113: 1083: 1063: 1038: 907: 892: 126:
O for that world. In this scenario, the primary intension of "water" would pick out XYZ.
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Under two-dimensionalism, the problem disappears. The primary intension of "Water is H
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is a notable opponent of two-dimensionalism, which he sees as an attempt to revive
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For example, Robert Stalnaker's account of knowledge represents knowledge as a
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David J. Chalmers (2010). "The Two-Dimensional Argument Against Materialism".
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is the case at all possible worlds in the set of worlds that we know. So if
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component. But one gets the false impression that the sentence expresses a
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proposition because this single sentence expresses two propositions, one
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Almog, Joseph; Perry, John; Wettstein, Howard K.; Kaplan, David (1989).
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However, this contention that one and the same proposition can be both
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and to overturn what he sees as a "revolution" in semantics begun by
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The Case of Hyper-intensionality in Two-Dimensional Modal Semantics:
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O. When considered according to its secondary intension, "Water is H
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component, since it is contingent that the referent of "water" is H
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in this world. The secondary intension of "water" in our world is H
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An Essay Towards a Real Character, and a Philosophical Language
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Two-Dimensional Semantics (Stanford Encyclopedia of Philosophy)
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of "water" is whatever thing "water" happens to pick out in
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If P&~Q is 1-possible, then P&~Q is 2-possible or
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O (let's say it's XYZ), it is not the case that water is H
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If P&~Q is conceivable, then P&~Q is 1-possible
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Two-Dimensionalism and Kripkean A Posteriori Necessity
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O. Neither intension gives us both a necessary and an
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O" is an example of a necessary truth which is true
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The Character of Consciousness (Philosophy of Mind)
241:is necessary it is true in all possible worlds. If 677:Sentence-Relativity and the Necessary A Posteriori 399:Materialism is false or Russellian monism is true. 581: 493: 2279: 1221:Segmented discourse representation theory (SDRT) 707:The Two Dimensional Argument against Materialism 396:If P&~Q is 2-possible, materialism is false. 489: 487: 485: 459:for a fuller explanation see Chalmers, David. 261:is necessary then we know it necessarily, and 141:, then the secondary intension of "water" is H 1438: 740: 696:The Foundations of Two Dimensional Semantics 307: 70:Any given sentence, for example, the words, 16:Approach to semantics in analytic philosophy 482: 199:, since we had to discover that water was H 2162:Wittgenstein on Rules and Private Language 1452: 1445: 1431: 747: 733: 532:. Princeton: Princeton University Press. 340:, but it's not possible that water isn't 30:. It is a theory of how to determine the 463:. Oxford UP: 1996. Chapter 2, section 4. 280:O, while the secondary intension is the 2280: 604:. Oxford University Press, USA. 2010. 527: 1426: 1176:Discourse representation theory (DRT) 728: 653:Two dimensional semantics--the basics 314:materialism in the philosophy of mind 477:Issues in the Philosophy of Language 1089:Quantificational variability effect 756:Formal semantics (natural language) 631:Internet Encyclopedia of Philosophy 475:Stalnaker, Robert. "Propositions." 13: 582:Garcia-Carpintero, Manuel (2006). 14: 2314: 619: 82:is taken to express two distinct 66:Two-dimensional semantic analysis 161:O in every world because unlike 2102:Tractatus Logico-Philosophicus 1171:Combinatory categorial grammar 546: 521: 497:The Character of Consciousness 453: 1: 1983:Principle of compositionality 949:Antecedent-contained deletion 446: 357:1-possible that water wasn't 207:O, for these are known to be 105:of a word or sentence is its 94:, which together compose its 2132:Philosophical Investigations 404: 7: 1973:Modality (natural language) 718:Two Dimensional Modal Logic 586:. Oxford: Clarendon Press. 500:. Oxford University Press. 434: 353:. Chalmers replies that it 189:has argued that "Water is H 10: 2319: 2112:Language, Truth, and Logic 1852:Theological noncognitivism 1737:Contrast theory of meaning 1732:Causal theory of reference 1463:Index of language articles 830:Syntax–semantics interface 575: 2252: 2197:Philosophy of information 2184: 2033: 1885: 1797:Mediated reference theory 1722: 1469: 1460: 1359: 1322:Question under discussion 1272:Conversational scoreboard 1249: 1153: 1146: 1049:Intersective modification 1034:Homogeneity (linguistics) 941: 850: 843: 762: 685:Two Dimensional Semantics 626:Two-Dimensional Semantics 584:Two-Dimensional Semantics 530:Reference and Description 308:In the philosophy of mind 180: 86:, often referred to as a 2122:Two Dogmas of Empiricism 1377:Distributional semantics 383:P&~Q is conceivable 1923:Use–mention distinction 1767:Direct reference theory 1372:Computational semantics 1114:Subsective modification 918:Propositional attitudes 1857:Theory of descriptions 1792:Linguistic determinism 1454:Philosophy of language 1402:Philosophy of language 1044:Inalienable possession 1024:Free choice inferences 1019:Faultless disagreement 790:Generalized quantifier 528:Soames, Scott (2007). 402: 294:necessary a posteriori 165:it is impossible for H 1968:Mental representation 1903:Linguistic relativity 1787:Inquisitive semantics 1302:Plural quantification 1196:Inquisitive semantics 1161:Alternative semantics 380: 376:phenomenal experience 265:we know it a priori. 2298:Theories of language 2152:Naming and Necessity 2062:De Arte Combinatoria 1861:Definite description 1822:Semantic externalism 1287:Function application 1094:Responsive predicate 1084:Privative adjectives 169:O to be other than H 2202:Philosophical logic 2192:Analytic philosophy 1998:Sense and reference 1877:Verification theory 1832:Situation semantics 1367:Cognitive semantics 1282:Existential closure 1226:Situation semantics 1129:Temperature paradox 1099:Rising declaratives 1064:Modal subordination 1039:Hurford disjunction 999:Discourse relations 131:secondary intension 92:secondary intension 32:sense and reference 28:analytic philosophy 2052:Port-Royal Grammar 1948:Family resemblance 1867:Theory of language 1842:Supposition theory 1412:Semantics of logic 1337:Strict conditional 1312:Quantifier raising 1277:Downward entailing 1257:Autonomy of syntax 1186:Generative grammar 1166:Categorial grammar 1104:Scalar implicature 1009:Epistemic modality 984:De dicto and de re 663:Alexandra Arapinis 555:Themes from Kaplan 461:The Conscious Mind 22:is an approach to 20:Two-dimensionalism 2303:Modal metaphysics 2275: 2274: 1777:Dynamic semantics 1420: 1419: 1392:Logic translation 1355: 1354: 1347:Universal grinder 1332:Squiggle operator 1292:Meaning postulate 1231:Supervaluationism 1201:Intensional logic 1181:Dynamic semantics 1142: 1141: 974:Crossover effects 923:Tense–aspect–mood 903:Lexical semantics 721:by Gary Hardegree 611:978-0-19-531110-5 539:978-0-691-13099-6 391:Russellian monism 88:primary intension 2310: 2237:Formal semantics 2185:Related articles 2177: 2167: 2157: 2147: 2137: 2127: 2117: 2107: 2097: 2087: 2077: 2067: 2057: 2047: 1817:Relevance theory 1812:Phallogocentrism 1447: 1440: 1433: 1424: 1423: 1397:Linguistics wars 1327:Semantic parsing 1216:Montague grammar 1151: 1150: 994:Deontic modality 848: 847: 835:Truth conditions 770:Compositionality 763:Central concepts 749: 742: 735: 726: 725: 647:Robert Stalnaker 615: 597: 569: 568: 550: 544: 543: 525: 519: 518: 516: 514: 491: 480: 479:. 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Retrieved 496: 476: 460: 455: 441:David Kaplan 410:Scott Soames 408: 373: 354: 326: 311: 301: 298:a posteriori 297: 293: 290:a posteriori 289: 281: 274:a posteriori 273: 267: 262: 258: 254: 250: 246: 242: 238: 228: 216:a posteriori 213: 208: 196:a posteriori 194: 184: 163:watery stuff 162: 151:watery stuff 150: 139:watery stuff 138: 134: 130: 128: 116:watery stuff 115: 111:watery stuff 110: 101:The primary 100: 91: 87: 84:propositions 81: 69: 19: 18: 2288:Modal logic 2207:Linguistics 2172:Limited Inc 2092:On Denoting 1918:Proposition 1569:de Saussure 1534:Ibn Khaldun 1262:Context set 1236:Type theory 1119:Subtrigging 883:Disjunction 810:Proposition 513:4 September 187:Saul Kripke 74:"Water is H 40:truth-value 2282:Categories 2267:Discussion 2262:Task Force 2212:Pragmatics 2003:Speech act 1933:Categories 1847:Symbiosism 1802:Nominalism 1714:Watzlawick 1594:Bloomfield 1514:Chrysippus 1407:Pragmatics 1059:Mirativity 825:Speech act 780:Entailment 775:Denotation 447:References 272:O" is the 263:ipso facto 224:contingent 145:O, since H 2293:Semantics 2244:Semiotics 2232:Semantics 2082:Alciphron 2018:Statement 1953:Intension 1893:Ambiguity 1772:Dramatism 1752:Cratylism 1504:Eubulides 1499:Aristotle 1479:Confucius 1211:Mereology 1147:Formalism 1029:Givenness 954:Cataphora 942:Phenomena 933:Vagueness 863:Ambiguity 815:Reference 795:Intension 785:Extension 643:Assertion 414:Russelian 405:Criticism 318:epistemic 302:necessary 282:necessary 209:identical 103:intension 24:semantics 2257:Category 2217:Rhetoric 2042:Cratylus 2013:Sentence 1988:Property 1908:Language 1886:Concepts 1724:Theories 1689:Strawson 1674:Davidson 1664:Hintikka 1659:Anscombe 1604:Vygotsky 1559:Mauthner 1529:Averroes 1519:Zhuangzi 1509:Diodorus 1489:Cratylus 1360:See also 1250:Concepts 1124:Telicity 959:Coercion 913:Negation 908:Modality 858:Anaphora 435:See also 431:(1989). 393:is true. 300:and one 231:relation 220:a priori 44:sentence 38:and the 2024:more... 1928:Concept 1669:Dummett 1644:Gadamer 1639:Chomsky 1624:Derrida 1614:Russell 1599:Bergson 1584:Tillich 1544:Leibniz 1484:Gorgias 868:Binding 576:Sources 418:Fregean 96:meaning 2176:(1988) 2166:(1982) 2156:(1980) 2146:(1967) 2136:(1953) 2126:(1951) 2116:(1936) 2106:(1921) 2096:(1905) 2086:(1732) 2076:(1668) 2066:(1666) 2056:(1660) 2046:(n.d.) 2008:Symbol 1709:Searle 1699:Putnam 1649:Kripke 1634:Austin 1619:Carnap 1564:RicĹ“ur 1549:Herder 1539:Hobbes 1297:Monads 844:Topics 608:  590:  561:  536:  504:  429:Kaplan 425:Kripke 253:, for 181:Impact 90:and a 2034:Works 1943:Class 1704:Lewis 1694:Quine 1679:Grice 1629:Whorf 1589:Sapir 1574:Frege 1524:Xunzi 1494:Plato 989:De se 893:Focus 851:Areas 820:Scope 322:modal 149:O is 107:sense 42:of a 34:of a 1993:Sign 1898:Cant 1684:Ryle 1654:Ayer 1579:Boas 606:ISBN 588:ISBN 559:ISBN 534:ISBN 515:2014 502:ISBN 320:and 222:and 135:this 129:The 52:true 36:word 1938:Set 1241:TTR 710:by 699:by 688:by 645:by 247:not 233:on 226:). 50:is 26:in 2284:: 2094:" 484:^ 468:^ 355:is 304:. 211:. 98:. 78:O" 62:. 2090:" 1863:) 1859:( 1446:e 1439:t 1432:v 748:e 741:t 734:v 634:) 628:( 614:. 596:. 567:. 542:. 517:. 416:– 368:O 364:2 359:H 351:O 347:2 342:H 338:O 334:2 329:H 286:2 278:2 270:2 259:P 255:P 251:P 243:P 239:P 205:2 201:2 191:2 175:2 171:2 167:2 159:2 155:2 147:2 143:2 124:2 120:2 76:2

Index

semantics
analytic philosophy
sense and reference
word
truth-value
sentence
necessary truth
true
Robert Stalnaker
David Chalmers
propositions
meaning
intension
sense
Saul Kripke
a posteriori
a posteriori
a priori
contingent
relation
possible worlds
materialism in the philosophy of mind
epistemic
modal
phenomenal experience
Russellian monism
Scott Soames
Russelian
Fregean
descriptivism

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